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Finding the Fourth Proportional to 4,714.07, 7,074.14 and 2,494.94

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Solution

The fourth proportional to 4,714.07, 7,074.14 and 2,494.94 is: 3,744.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.07 : 7,074.14 = 2,494.94 : x
  2. Step 2: Convert to fraction form
    4,714.07/7,074.14 = 2,494.94/x
  3. Step 3: Cross multiply
    4,714.07x = 7,074.14 × 2,494.94
  4. Step 4: Simplify right side
    4,714.07x = 17,649,507.01
  5. Step 5: Solve for x
    x = 17,649,507.01/4,714.07
  6. Step 6: Final answer
    x = 3,744.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.